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comment Strings in a dictionary. A partial order, strict order, and total order?
Hint: What is the relation between the words "cat" and "dog"?
May
11
awarded  Necromancer
May
11
comment Machine Learning and Probability/Stochastics
The lack of activity on this question, however, does not :(
May
8
awarded  Inquisitive
May
7
comment Machine Learning and Probability/Stochastics
@user237393 thank you! This looks really promising! Makes me quite hopeful in joining these two.
May
7
asked Machine Learning and Probability/Stochastics
May
3
asked Interpretation of $\sigma$-algebra and filtrations (follow-up question)
Apr
18
awarded  Benefactor
Apr
12
awarded  Promoter
Apr
12
comment Limit w/o L'hopital
@black multiply the fraction by $$ \frac{\sqrt x + \sqrt c}{\sqrt x + \sqrt c} $$
Apr
7
comment $P^n$ transition matrix of a Markov chain
Not sure what you're asking right now. Maybe this will help: $P^n$ actually is the $n$-th power of the transition matrix $P$, only I am trying to get to it through a combinatorial argument, rather than attempting to multiply the matrix $n$-times.
Apr
7
comment $P^n$ transition matrix of a Markov chain
If I stay in state $2$, it means I put a ball inside one of the two boxes which were already nonempty, thus I changed nothing about the number of nonempty boxes and the transition to state $3$ still has the same probability. (Also: It is a homogenous Markov chain)
Apr
7
comment $P^n$ transition matrix of a Markov chain
To add to how $P$ was constructed: the first row, for example, says that with probability $1$ we'll go from state zero to state $1$ - that is, the ball has to be put somewhere, thus making one box nonempty. The second row says that we might hit the one nonempty box with probability $\frac 1k$ or an empty one with probability $\frac {k-1}{k}$
Apr
7
revised $P^n$ transition matrix of a Markov chain
added 155 characters in body
Apr
7
comment $P^n$ transition matrix of a Markov chain
Sorry, will try to add details to clarify.
Apr
7
asked $P^n$ transition matrix of a Markov chain
Apr
6
accepted Find the inner product under which is the following base orthonormal
Apr
6
comment Proving completeness of $L^p$
@Potato I was not aware of the definition, nor do I see the need for such definition, Am I missing something, or is this perhaps not needed if you start with the measure theoretic definition of $L^p$?
Apr
6
comment Proving completeness of $L^p$
The measure theoretic definition: $$ L^p(X,\mu):=\{f:X\to\mathbb R:\ \|f\|_{L^p}<\infty\},$$
Apr
6
revised Proving completeness of $L^p$
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